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{
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"questionId": "1240",
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"categoryTitle": "Algorithms",
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"title": "Stone Game II",
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"content": "<p>Alice and Bob continue their games with piles of stones. There are a number of piles <strong>arranged in a row</strong>, and each pile has a positive integer number of stones <code>piles[i]</code>. The objective of the game is to end with the most stones.</p>\n\n<p>Alice and Bob take turns, with Alice starting first.</p>\n\n<p>On each player&#39;s turn, that player can take <strong>all the stones</strong> in the <strong>first</strong> <code>X</code> remaining piles, where <code>1 &lt;= X &lt;= 2M</code>. Then, we set <code>M = max(M, X)</code>. Initially, M = 1.</p>\n\n<p>The game continues until all the stones have been taken.</p>\n\n<p>Assuming Alice and Bob play optimally, return the maximum number of stones Alice can get.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">piles = [2,7,9,4,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">10</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>If Alice takes one pile at the beginning, Bob takes two piles, then Alice takes 2 piles again. Alice can get <code>2 + 4 + 4 = 10</code> stones in total.</li>\n\t<li>If Alice takes two piles at the beginning, then Bob can take all three piles left. In this case, Alice get <code>2 + 7 = 9</code> stones in total.</li>\n</ul>\n\n<p>So we return 10 since it&#39;s larger.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">piles = [1,2,3,4,5,100]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">104</span></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= piles.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= piles[i]&nbsp;&lt;= 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "石子游戏 II",
"translatedContent": "<p>Alice&nbsp;和 Bob 继续他们的石子游戏。许多堆石子&nbsp;<strong>排成一行</strong>,每堆都有正整数颗石子&nbsp;<code>piles[i]</code>。游戏以谁手中的石子最多来决出胜负。</p>\n\n<p>Alice&nbsp;和 Bob 轮流进行Alice 先开始。最初,<code>M = 1</code>。</p>\n\n<p>在每个玩家的回合中,该玩家可以拿走剩下的&nbsp;<strong>前</strong>&nbsp;<code>X</code>&nbsp;堆的所有石子,其中&nbsp;<code>1 &lt;= X &lt;= 2M</code>。然后,令&nbsp;<code>M = max(M, X)</code>。</p>\n\n<p>游戏一直持续到所有石子都被拿走。</p>\n\n<p>假设 Alice 和 Bob 都发挥出最佳水平,返回 Alice 可以得到的最大数量的石头。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>piles = [2,7,9,4,4]\n<strong>输出:</strong>10\n<strong>解释:</strong>如果一开始 Alice 取了一堆Bob 取了两堆,然后 Alice 再取两堆。Alice 可以得到 2 + 4 + 4 = 10 堆。\n如果 Alice 一开始拿走了两堆,那么 Bob 可以拿走剩下的三堆。在这种情况下Alice 得到 2 + 7 = 9 堆。返回 10因为它更大。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong>piles = [1,2,3,4,5,100]\n<strong>输出:</strong>104\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= piles.length &lt;= 100</code></li>\n\t<li><meta charset=\"UTF-8\" /><code>1 &lt;= piles[i]&nbsp;&lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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